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Finding the Fourth Proportional to 412.37, 569.22 and 280.27

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Solution

The fourth proportional to 412.37, 569.22 and 280.27 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.37 : 569.22 = 280.27 : x
  2. Step 2: Convert to fraction form
    412.37/569.22 = 280.27/x
  3. Step 3: Cross multiply
    412.37x = 569.22 × 280.27
  4. Step 4: Simplify right side
    412.37x = 159,534.14
  5. Step 5: Solve for x
    x = 159,534.14/412.37
  6. Step 6: Final answer
    x = 386.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.